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Journal articleWells MR, Allison PA, Piggott MD, et al., 2010, , Journal of Sedimentary 91桃色, Vol: 80, Pages: 393-410, ISSN: 1527-1404
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Journal articleWells MR, Allison PA, Piggott MD, et al., 2010, , Journal of Sedimentary 91桃色, Vol: 80, Pages: 411-439, ISSN: 1527-1404
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Journal articleMitchell AJ, Ulicny D, Hampson GJ, et al., 2010, , Sedimentology, Vol: 57, Pages: 359-388, ISSN: 0037-0746
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Journal articleMitchell AJ, Allison PA, Piggott MD, et al., 2010, , Journal of Sedimentary Geology, Vol: 228, Pages: 81-97, ISSN: 0037-0738
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Journal articleGarwood R, Dunlop JA, Sutton MD, 2009, , BIOLOGY LETTERS, Vol: 5, Pages: 841-844, ISSN: 1744-9561
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- Citations: 43
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Journal articleRahman IA, Sutton MD, Bell MA, 2009, , LETHAIA, Vol: 42, Pages: 424-437, ISSN: 0024-1164
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- Citations: 7
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Journal articleFang F, Pain CC, Navon IM, et al., 2009, , International Journal for Numerical Methods in Fluids, Vol: 63, Pages: 185-206, ISSN: 1097-0363
The approach for designing an error measure to guide an adaptive meshing algorithm proposed in Power et al. (Ocean Modell. 2006; 15:3-38) is extended to use a POD adjoint-based method, thus facilitating efficient primal and adjoint integration in time. The aim is to obtain a new mesh that can adequately resolve all the fields at all time levels, with optimal (w.r.t. the functional) efficiency. The goal-based method solves both the primal and adjoint equations to form the overall error norms, in the form of a metric tensor. The tetrahedral elements are then optimized so that they have unit size in Riemannian space defined with respect to the metric tensor.This is the first attempt to use POD to estimate an anisotropic error measure. The metric tensor field can be used to direct anisotropic mesh adaptivity. The resulting mesh is optimized to efficiently represent the solution fields over a given time period. The calculation of the error measures is carried out in the reduced space. The POD approach facilitates efficient integration backwards in time and yields the sensitivity analysis necessary for the goal-based error estimates. The accuracy of both the primal and adjoint-reduced models is thus optimized (through the use of anisotropic mesh adaptivity). In addition, the functional for optimizing meshes has been designed to be consistent with that for 4D Var data assimilation.
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Journal articleFang F, Pain CC, Navon IM, et al., 2009, , INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol: 59, Pages: 827-851
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Journal articleFang F, Pain CC, Navon IM, et al., 2009, , Int. J. Numer. Meth. Fluids, Vol: 60, Pages: 709-732
This paper presents a novel approach for inverting a complex ocean model via a proper orthogonal decomposition. The inversion is achieved through the construction of an adjoint model and used to assimilate data in a similar manner to that used in weather forecasting. This is an incredibly important capability for an ocean model, however it is both complex to construct and also can be computationally expensive. The approach proposed here addresses both of these important issues by constructing an efficient and easy to compute adjoint directly from the reduced order model. The approach is demonstrated by inverting for initial conditions in an ocean gyre simulation. The methodology proposed here led directly to the award of a £1M EPSRC grant (EP/I00405X) to develop reduced order and adjoint models for coastal oceanography. Cited 11 times.
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Journal articleHalgedahl SL, Jarrard RD, Brett CE, et al., 2009, , Palaeogeography, Palaeoclimatology, Palaeoecology, Vol: 277, Pages: 34-56, ISSN: 0031-0182
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Journal articleFang F, Pain CC, Navon IM, et al., 2009, , Ocean Modelling, Vol: 28, Pages: 127-136, ISSN: 1463-5003
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Journal articleBrett CE, Allison PA, DeSantis MK, et al., 2009, , Palaeogeography, Palaeoclimatology, Palaeoecology, Vol: 277, Pages: 9-33, ISSN: 0031-0182
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Journal articleSelden PA, Shear WA, Sutton MD, 2008, , PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, Vol: 105, Pages: 20781-20785, ISSN: 0027-8424
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- Citations: 81
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Journal articleGorman GJ, Piggott MD, Wells MR, et al., 2008, , Computers & Geosciences, Vol: 34, Pages: 1721-1731, ISSN: 0098-3004
A systematic approach to unstructured mesh generation for ocean modelling is presented. The method optimises unstructured meshes to approximate bathymetry to a user specified accuracy which may be defined as a function of longitude, latitude and bathymetry. GMT (Generic Mapping Tools) is used to perform the initial griding of the bathymetric data. Subsequently, the Terreno meshing package combines automated shoreline approximation, mesh gradation and optimisation methods to generate high-quality bathymetric meshes. The operation of Terreno is based upon clearly defined error measures and this facilitates the automation of unstructured mesh generation while minimising user intervention and the subjectivity that this can introduce.
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Journal articlePaul CRC, Allison PA, Brett CE, 2008, , Palaeogeography, Palaeoclimatology, Palaeoecology, Vol: 270, Pages: 258-272, ISSN: 0031-0182
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Journal articleBosence DWJ, Allison PA, 2008, , Palaeogeography, Palaeoclimatology, Palaeoecology, Vol: 270, Pages: 217-219, ISSN: 0031-0182
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Journal articleAllison PA, Hesselbo SP, Brett CE, 2008, , Palaeogeography, Palaeoclimatology, Palaeoecology, Vol: 270, Pages: 230-238, ISSN: 0031-0182
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Journal articleWells MR, Allison PA, Hampson GJ, et al., 2008,
Investigating tides in the Early Pennsylvanian Seaway of NW Eurasia using the 91桃色 College Ocean Model
, Geological Association of Canada Special Paper, Vol: 48, Pages: 363-387, ISSN: 0072-1042 -
Journal articleSutton MD, 2008, , PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, Vol: 275, Pages: 1587-1593, ISSN: 0962-8452
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- Citations: 143
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Conference paperPiggott MD, Gorman GJ, Pain CC, et al., 2008,
A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes
, 9th ICFD Conference on Numerical Methods for Fluid Dynamics, Pages: 1003-1015A new modelling framework is presented for application to a range of three-dimensional (3D) multi-scale oceanographic problems. The approach is based upon a finite element discretization on an unstructured tetrahedral mesh which is optimized to represent highly complex geometries. Throughout a simulation the mesh is dynamically adapted in 3D to optimize the representation of evolving solution structures. The adaptive algorithm makes use of anisotropic measures of solution complexity and a load-balanced parallel mesh optimization algorithm to vary resolution and allow long, thin elements to align with features such as boundary layers. The modelling framework presented is quite different from the majority of ocean models in use today, which are typically based on static-structured grids. Finite element (and volume) methods on unstructured meshes are, however, gaining popularity in the oceanographic community. The model presented here is novel in its use of unstructured meshes and anisotropic adaptivity in 3D, its ability to represent a range of coupled multi-scale solution structures and to simulate non-hydrostatic dynamics. Copyright (C) 2007 John Wiley & Sons, Ltd.
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